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130121114240 = 2751315639557
BaseRepresentation
bin111100100101111010…
…0101010001010000000
3110102212100211111010102
41321023310222022000
54112442001123430
6135435443021532
712254344136045
oct1711364521200
9412770744112
10130121114240
1150202a82047
122127536a8a8
13c368ccb970
1464255d51cc
1535b87d9345
hex1e4bd2a280

130121114240 has 64 divisors (see below), whose sum is σ = 334999332360. Its totient is φ = 48044716032.

The previous prime is 130121114219. The next prime is 130121114251. The reversal of 130121114240 is 42411121031.

It can be written as a sum of positive squares in 4 ways, for example, as 93993749056 + 36127365184 = 306584^2 + 190072^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7811459 + ... + 7828098.

Almost surely, 2130121114240 is an apocalyptic number.

130121114240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130121114240 is an abundant number, since it is smaller than the sum of its proper divisors (204878218120).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

130121114240 is a wasteful number, since it uses less digits than its factorization.

130121114240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15639589 (or 15639577 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 130121114240 its reverse (42411121031), we get a palindrome (172532235271).

The spelling of 130121114240 in words is "one hundred thirty billion, one hundred twenty-one million, one hundred fourteen thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 128 130 160 208 260 320 416 520 640 832 1040 1664 2080 4160 8320 15639557 31279114 62558228 78197785 125116456 156395570 203314241 250232912 312791140 406628482 500465824 625582280 813256964 1000931648 1016571205 1251164560 1626513928 2001863296 2033142410 2502329120 3253027856 4066284820 5004658240 6506055712 8132569640 10009316480 13012111424 16265139280 26024222848 32530278560 65060557120 130121114240